Further results on staircase (cyclic) words
Abstract
We find the two-variables generating function for the statistic which counts the number of variations in a word bounded by 1. Thus, we refine and extend previous results concerning staircase words, which are words in which the variation between all consecutive letters is bounded by 1. We obtain the analogue results for cyclic words.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.